{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,19]],"date-time":"2023-05-19T04:24:56Z","timestamp":1684470296608},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,4]]},"abstract":"<jats:p>The bifurcation structure of a constraint Duffing van der Pol oscillator with a diode is analyzed and an objective bifurcation diagram is illustrated in detail in this work. An idealized case, where the diode is assumed to operate as a switch, is considered.<\/jats:p><jats:p>In this case, the Poincar\u00e9 map is constructed as a one-dimensional map: a circle map. The parameter boundary between a torus-generating region where the circle map is a diffeomorphism and a chaos-generating region where the circle map has extrema is derived explicitly, without solving the implicit equations, by adopting some novel ideas. On the bifurcation diagram, intermittency and a saddle-node bifurcation from the periodic state to the quasi-periodic state can be exactly distinguished. Laboratory experiment is also carried out and theoretical results are verified.<\/jats:p>","DOI":"10.1142\/s0218127408020835","type":"journal-article","created":{"date-parts":[[2008,6,12]],"date-time":"2008-06-12T10:46:53Z","timestamp":1213267613000},"page":"1051-1068","source":"Crossref","is-referenced-by-count":12,"title":["ANALYSIS OF TORUS BREAKDOWN INTO CHAOS IN A CONSTRAINT DUFFING VAN DER POL OSCILLATOR"],"prefix":"10.1142","volume":"18","author":[{"given":"MUNEHISA","family":"SEKIKAWA","sequence":"first","affiliation":[{"name":"Aihara Complexity Modeling Project, ERATO, JST, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"NAOHIKO","family":"INABA","sequence":"additional","affiliation":[{"name":"Inaba Research Laboratory, 1-45-1 Ekihigashi-dori, Oyama-shi 323-0022, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"TAKASHI","family":"TSUBOUCHI","sequence":"additional","affiliation":[{"name":"Institute of Engineering Mechanics and Systems, University of Tsukuba, 1-1-1 Ten'noudai, Tsukuba-shi 305-8573, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KAZUYUKI","family":"AIHARA","sequence":"additional","affiliation":[{"name":"Institute of Industrial Science, University of Tokyo, Aihara Complexity Modeling Project, ERATO, JST, 4-6-1 Komaba, Meguro-ku 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1391"},{"key":"rf2","series-title":"Progress in Physics","volume-title":"Iterated Maps on the Interval as Dynamical Systems","volume":"1","author":"Collet P.","year":"1980"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/31.1845"},{"key":"rf4","first-page":"744","volume":"70","author":"Inaba N.","journal-title":"Trans. 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